Chi-Squared Distribution

Parameters

Domain

Two-Parameter Chi-Squared Distribution

Probability Density Function

Cumulative Distribution Function

One-Parameter Chi-Squared Distribution

Probability Density Function

Cumulative Distribution Function

where is the Gamma Function,  and is the Incomplete Gamma Function.

Worksheet and VBA Functions

The following worksheet and VBA functions are available for this distribution:

Description	VBA Functions	Worksheet Functions
Distribution Fitting	-	=DistFit("ChiSqr";Data;[Options]1)
Probability Density Function	ChiSqrPdf(x,nu,[gamma])	=ChiSqrPdf(nu;[gamma]) =DistPdf("ChiSqr(nu;[gamma])";x)
Cumulative Distribution Function	ChiSqrCdf(x,nu,[gamma])	=ChiSqrCdf(nu;[gamma]) =DistCdf("ChiSqr(nu;[gamma])";x)
Survival Function	ChiSqrSurv(x,nu,[gamma])	=DistSurv("ChiSqr(nu;[gamma])";x)
Hazard Function	ChiSqrHaz(x,nu,[gamma])	=ChiSqrHaz(nu;[gamma]) =DistHaz("ChiSqr(nu;[gamma])";x)
Cumulative Hazard Function	ChiSqrCumHaz(x,nu,[gamma])	=DistCumHaz("ChiSqr(nu;[gamma])";x)
Inverse CDF (Quantile Function)	ChiSqrInv(P,nu,[gamma])	=ChiSqrInv(nu;[gamma]) =DistInv("ChiSqr(nu;[gamma])";P)
Random Numbers	ChiSqrRand(nu,[gamma])	=ChiSqrRand(nu;[gamma]) =DistRand("ChiSqr(nu;[gamma])")
Mode	ChiSqrMode(nu,[gamma])	=DistMode("ChiSqr(nu;[gamma])")
Mean	ChiSqrMean(nu,[gamma])	=ChiSqrMean(nu;[gamma]) =DistMean("ChiSqr(nu;[gamma])")
Variance	ChiSqrVar(nu,[gamma])	=ChiSqrVar(nu;[gamma]) =DistVar("ChiSqr(nu;[gamma])")
Standard Deviation	ChiSqrStdev(nu,[gamma])	=ChiSqrStdev(nu;[gamma]) =DistStdev("ChiSqr(nu;[gamma])")
Skewness	ChiSqrSkew(nu,[gamma])	=DistSkew("ChiSqr(nu;[gamma])")
(Excess) Kurtosis	ChiSqrKurt(nu,[gamma])	=DistKurt("ChiSqr(nu;[gamma])")

1. The Options parameter is optional. Possible options: "gamma=value"  (example: "gamma=0")
2. The gamma parameter is optional (the default value is 0).